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Finding the Fourth Proportional to 679.94, 1,019.10 and 263.19

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Solution

The fourth proportional to 679.94, 1,019.10 and 263.19 is: 394.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.94 : 1,019.10 = 263.19 : x
  2. Step 2: Convert to fraction form
    679.94/1,019.10 = 263.19/x
  3. Step 3: Cross multiply
    679.94x = 1,019.10 × 263.19
  4. Step 4: Simplify right side
    679.94x = 268,216.93
  5. Step 5: Solve for x
    x = 268,216.93/679.94
  6. Step 6: Final answer
    x = 394.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.